PREFACE TO THIS NEW IMPROVED (THIRD) EDITION. THE demand for this work still continuing, notwithstanding the publication of other works on Arithmetick and the higher branches of the Mathematicks, is evidence of its intrinsick merit, and has induced the Proprietors of the copyright to present the publick with a new and improved Edition. Application was made to the Author, requesting him to revise and improve the work for a new Edition; but he declined on account of want of health, and the Gentleman, whom we employed, was engaged by the Author's consent, and improved and corrected the work agreeably to his directions and advice. The most important improvement in this Edition, is the introduction of examples in the Federal Currency under each rule; and while this was considered in order to extend the knowledge and use of that thought important not to omit examples in pounds, shillings and pence, which are, and will continue to be, the basis of many arithmetical questions; and therefore an acquaintance with them will always be useful. necessary, currency, it was Mr. NATHANIEL LORD, 3d. of Ipswich, the Gentleman employed to correct and improve the work, has bestowed much attention upon it, and has received from Mr. PIKE all the information and advice he desired. The manner in which Mr. LORD has executed the task entrusted to him, will, we hope, gain additional reputation for the work, and entitle him to the thanks of the publick. Boston, April, 1808. THOMAS & ANDREWS. Some errours, which escaped correction, are noticed in an errata, at the end of the work. : Discount at Compound Intereft Table, fhewing the amount of £.1 or D.1 from 1 year to 50 fhewing the prefent worth of £.1 or D.1 Annuity, &c. A fhort Method of reducing a Vulgar Fraction to a Decimal of the net Proceeds, after the Commissions at 24 and 5 per cent. are 359 Table directing how to buy and fell by the Hundred Weight Comparison of the American Foot with the Feet of other Countries An Prob. 2. To find, with regard to any other Years, whether any Year he Leap- 3. To find the Dominical Letter according to the Julian Method 4. To find the fame according to the Gregorian Method 5. To find the Prime, or Golden Number 8. To calculate the Moon's Age on any given Day 9. To find the Times of the New and Full Moon, and first and last Quar- ters 10. Having the time of the Moon's Southing given, to find her Age 11. To find the time of the Moon's Southing 12. To find on what Day of the Week any given day in any month 376 15. Having the Diameter, to find the Area, without the Circumference 406 16. Having the Circumference, to find the Area without the Diameter 406 17. Having the Dimenfions of any of the parts of a Circle, to find B 22. Having the Diameter of a Circle, to find the Area of a Semicircle 408 23. Having the Segment of a Circle, to find the Length of the Arch Line 408 24. Having the Chord and Verfed Sine of a Segment, to find the Di- |